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Finding the Fourth Proportional to 321,420.76, 482,211.44 and 226,835.57

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Solution

The fourth proportional to 321,420.76, 482,211.44 and 226,835.57 is: 340,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,420.76 : 482,211.44 = 226,835.57 : x
  2. Step 2: Convert to fraction form
    321,420.76/482,211.44 = 226,835.57/x
  3. Step 3: Cross multiply
    321,420.76x = 482,211.44 × 226,835.57
  4. Step 4: Simplify right side
    321,420.76x = 109,382,705,115.98
  5. Step 5: Solve for x
    x = 109,382,705,115.98/321,420.76
  6. Step 6: Final answer
    x = 340,310.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.